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Diff for /OpenXM/src/kan96xx/Doc/oxasir.sm1 between version 1.4 and 1.9

version 1.4, 2002/01/06 08:47:36 version 1.9, 2002/08/11 11:20:37
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Line 1 
 % $OpenXM: OpenXM/src/kan96xx/Doc/oxasir.sm1,v 1.3 2001/12/28 01:20:26 takayama Exp $  % $OpenXM: OpenXM/src/kan96xx/Doc/oxasir.sm1,v 1.8 2002/08/11 02:47:01 takayama Exp $
 %% kxx/oxasir.sm1   1998, 2/12 (this version is at Old/oxasir.sm1.19980212  %% kxx/oxasir.sm1   1998, 2/12 (this version is at Old/oxasir.sm1.19980212
 %%   3/1, 1995, 11/5, 11/21  %%   3/1, 1995, 11/5, 11/21
 %% This file is error clean.  %% This file is error clean.
 %%%%%%% How to install.  %%%%%%% How to install.
 %%%  Set ASIR_LIBDIR if necessary. Ex. /u/nobuki/lib/asir  %%%  Set ASIR_LIBDIR if necessary. Ex. /u/nobuki/lib/asir
 %%%  write  ~/.asirrc  :    load("gr")$ load("primdec")$ end$  %%%  write  ~/.asirrc  :    load("gr")$ load("primdec")$ load("bfct")$ end$
   %%%  or it is written in OpenXM/rc/asirrc in OpenXM env, it's fine.
 %%%  oxasir.asir  must be in  %%%  oxasir.asir  must be in
 %%%  LOAD_SM1_PATH or oxasirpath.asirlib  %%%  LOAD_SM1_PATH or oxasirpath.asirlib
 %%%  Edit below  %%%  Edit below
Line 75  oxasir.verbose {
Line 76  oxasir.verbose {
  %% gr and primdec are loaded by .asirrc   %% gr and primdec are loaded by .asirrc
  /asirinit.peer set   /asirinit.peer set
  [(ostype)] extension  0 get (windows) eq {   [(ostype)] extension  0 get (windows) eq {
    [asirinit.peer  (oxasir-win.rr)] oxasirParseFile    [(getenv) (OSTYPE)] extension tag 0 eq {
       [asirinit.peer (oxasir-win.rr)] oxasirParseFile
     }{
      [(getenv) (OSTYPE)] extension (cygwin) eq {
        [asirinit.peer  oxasirpath.asirlib] loadAsirFile
      }{
        [asirinit.peer  (oxasir-win.rr)] oxasirParseFile
      } ifelse
     } ifelse
  }{   }{
    [asirinit.peer  oxasirpath.asirlib] loadAsirFile     [asirinit.peer  oxasirpath.asirlib] loadAsirFile
  } ifelse   } ifelse
Line 604  oxasir.verbose {
Line 613  oxasir.verbose {
   popVariables    popVariables
 } def  } def
   
   [(bfct)
    [
     ( f bfct b )
     ( poly f; poly b)
     ([f v] bfct b)
     ( string f )
     ( b is the global b-function of the polynomial f.)
     (Example: (x^3-y^2) bfct fctr :: )
     (Algorithm: M.Noro, Mathematical Software, icms 2002, pp.147--157.)
     (  )
     (If you interrupted the computation by typing ctrl-C, type in )
     (   oxasir.ccc oxreset  ; )
     (to interrupt the ox_asir server.)
     (  )
     (This function requires plugins cmo, socket and ox_asir server. cf.oxasir)
     (You need to install ox_asir server to use this function. (ox_asir function))
   ]] putUsages
   
   /bfct {
     /arg1 set
     [/in-bfct /f /comm /vv] pushVariables
     [(CurrentRingp)] pushEnv
     [
       /f arg1 def
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
   
       f isPolynomial not {
         /vv f 1 get def
         vv isArray { /vv vv from_records  def } {  } ifelse
         /f f 0 get def
         [vv ring_of_polynomials 0] define_ring
         f . /f set
       }{ } ifelse
       oxasir.ccc [(oxasir_bfct) f] asir /f set
       [(s) ring_of_polynomials 0] define_ring
       f . /f set
       [f f fctr] /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   
   [(generic_bfct)
    [
     ( [ii weight] generic_bfct b )
     ( list of poly ii; list weight)
     ([ii weight variables] generic_bfct b)
     ( list of string ii; list weight; list variables)
     ( b is the general b-function of the ideal ii w.r.t the weight.)
     (Example: [[(Dx^2) (Dy^2)] [(x) -1 (Dx) 1] [(x) (y)]] generic_bfct :: )
     (Notion: Saito, Sturmfels, Takayama, Grobner deformations of hypergeometric differential equaitons)
     (Algorithm:  M.Noro, Mathematical Software, icms 2002, pp.147--157.)
     (  )
     (If you interrupted the computation by typing ctrl-C, type in )
     (   oxasir.ccc oxreset  ; )
     (to interrupt the ox_asir server.)
     (  )
     (This function requires plugins cmo, socket and ox_asir server. cf.oxasir)
     (You need to install ox_asir server to use this function. (ox_asir function))
   ]] putUsages
   
   /generic_bfct {
     /arg1 set
     [/in-generic_bfct /aa /f  /comm /vvv0 /n /vvv /ddd /r /setarg
      /bf /wt ] pushVariables
     [(CurrentRingp)] pushEnv
     [
       /aa arg1 def
       aa isArray { } { (<<array>> generic_bfct) error } ifelse
       /setarg 0 def
       aa { tag } map /typev set
       typev [ ArrayP ArrayP] eq
       {  /f aa 0 get def
          f 0 tag PolyP { } {  (The first argument must be a list of differential operators. Give the third variable: a list of variables) error } ifelse
          f 0 get (ring) dc /r set
          [(CurrentRingp) r] system_variable
          /wt aa 1 get def
   
          /vvv0 getVariableNames def
          /n [(N)] system_variable def
          /vvv vvv0 n carN rest reverse rest reverse def
          /ddd vvv0 reverse n carN reverse
                      rest reverse rest reverse def
   
          /wt wt generic_bfct.aux1 def
   
          /setarg 1 def
       } { } ifelse
       typev [ArrayP ArrayP StringP] eq
       {  /f aa 0 get def
          /vvv [ aa 2 get to_records pop ] def
          /wt aa 1 get def
   
          /n vvv length def
          /ddd vvv { (D) 2 1 roll 2 cat_n } map def
   
          /setarg 1 def
       } { } ifelse
       typev [ArrayP ArrayP ArrayP] eq
       {  /f aa 0 get def
          /vvv aa 2 get {toString} map def
          /wt aa 1 get def
   
          /n vvv length def
          /ddd vvv { (D) 2 1 roll 2 cat_n } map def
   
          /setarg 1 def
       } { } ifelse
       setarg { } { (generic_bfct : Argument mismatch) error } ifelse
   
       f 0 get isPolynomial {
   
       }
       {
         [vvv from_records ring_of_differential_operators 0] define_ring
         f { toString . } map /f set
         vvv { . } map /vvv set
         ddd { . } map /ddd set
         /wt wt generic_bfct.aux1 def
       } ifelse
       [f vvv ddd wt] message
   
       oxasir.ccc [ ] eq {
          (Starting ox_asir server.) message
           ox_asirConnectMethod
       } {  } ifelse
   
       oxasir.ccc [(oxasir_generic_bfct) f vvv ddd wt] asir /bf set
       [(s) ring_of_polynomials 0] define_ring
       bf . /bf set
       [bf bf fctr] /arg1 set
     ] pop
     popEnv
     popVariables
     arg1
   } def
   
   /generic_bfct.aux1 {
     /arg1 set
     [/in-generic_bfct.aux1 /wt /wtx /wtd /n]  pushVariables
     [
       arg1 /wt set
       /n [(N)] system_variable def
       wt { dup tag PolyP eq { toString } {    } ifelse } map /wt set
       wt weightv /wt set
       /wtx wt n carN rest reverse rest reverse def
       /wtd wt reverse n carN reverse
                      rest reverse rest reverse def
       wtx wtd join /wt set
       wt { dup tag IntegerP eq { (universalNumber) dc } {    } ifelse } map /wt set
       wt /arg1 set
     ] pop
     popVariables
     arg1
   } def
   
 /oxasir.sm1.loaded 1 def  /oxasir.sm1.loaded 1 def
 [(ostype)] extension  0 get (windows) eq {  [(ostype)] extension  0 get (windows) eq {
Legend:
Removed from v.1.4  
changed lines
  Added in v.1.9
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